Question

gaurav sold his motorcycle to vikas at a loss 28%, vikas spent Rs 1680 on its repairs and sold the motorcycle to abhimanyu for Rs 35910, there by making a profit of 12.5%. Find the cost price of the motorcycle for gaurav

Answer 1

Let C.P of bikes =Rs.x

$\Rightarrow$ Gaurav sold the bike at $y=x-\frac{28x}{100}=\frac{72x}{100}$

C.P for vikas =$\frac{72x}{100}+1680$

Profit =$\frac{S.P-C.P}{C.P}\times 100\Rightarrow \frac{125}{100}=\frac{s.p}{C.P}-1\Rightarrow \frac{112.5}{100}=\frac{35910}{C.P}$

$\Rightarrow C.P=31920\Rightarrow \frac{72x}{100}=30240\Rightarrow x=Rs.42000$